Finding the Third Proportional to 581.34 and 1,255.78

Step by Step Solution

1. Step 1: Write the proportion equation
   581.34 : 1,255.78 = 1,255.78 : x
2. Step 2: Convert to fraction form
   581.34/1,255.78 = 1,255.78/x
3. Step 3: Cross multiply
   581.34x = 1,255.78 × 1,255.78
4. Step 4: Simplify right side
   581.34x = 1,576,986.55
5. Step 5: Solve for x
   x = 1,576,986.55/581.34
6. Step 6: Final answer
   x = 2,712.66